where, the duration of the phase transition is characterized by the factor of \(\tau _{sw}=min\left[\frac{1}{H_*},\frac{R_*}{\bar{U}_f}\right]\) , \(H_*R_*=v_b(8\pi )^{1/3}(\beta /H)^{-1}\)  [1]}. The factor of
\(\bar{U}_f^2\approx \frac{3}{4}\frac{\kappa _\nu \alpha }{1+\alpha }\;\) 
